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Finding the Fourth Proportional to 146.28, 201.96 and 102

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Solution

The fourth proportional to 146.28, 201.96 and 102 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 201.96 = 102 : x
  2. Step 2: Convert to fraction form
    146.28/201.96 = 102/x
  3. Step 3: Cross multiply
    146.28x = 201.96 × 102
  4. Step 4: Simplify right side
    146.28x = 20,599.92
  5. Step 5: Solve for x
    x = 20,599.92/146.28
  6. Step 6: Final answer
    x = 140.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.